Fuzzy Surfaces of Genus Zero

Details Fuzzy Surfaces of Genus Zero Fuzzy Surfaces of Genus Zero

1997-06-16

arxiv.org/abs/gr-qc/9706047v1

Class.Quant.Grav. 14 (1997) 3303-3312; Erratum-ibid. 15 (1998) 479

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, Latex

Scientific paper

10.1088/0264-9381/14/12/014

A fuzzy version of the ordinary round 2-sphere has been constructed with an invariant curvature. We here consider linear connections on arbitrary fuzzy surfaces of genus zero. We shall find as before that they are more or less rigidly dependent on the differential calculus used but that a large number of the latter can be constructed which are not covariant under the action of the rotation group. For technical reasons we have been forced to limit our considerations to fuzzy surfaces which are small perturbations of the fuzzy sphere.

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